📈 BioFlo Fermentation Kinetics

Compute specific growth rates ($\mu = \frac{\ln(X_2) - \ln(X_1)}{t_2 - t_1}$), microbial doubling times ($t_d = \frac{\ln 2}{\mu}$), biomass yield on substrate ($Y_{X/S} = \frac{\Delta X}{\Delta S}$), and product yield ($Y_{P/S}$).

Two-Point Exponential Growth Phase Inputs
Initial Time Point (t₁)
Final Time Point (t₂)
0.00 h⁻¹
Specific Growth Rate (μ)
0.00 h
Doubling Time (td)
0.00 g/g
Biomass Yield (Yx/s)
0.00 g/g/h
Spec. Substrate Uptake (qs)